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Finding the Fourth Proportional to 235,468.88, 325,802.76 and 205,317.03

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Solution

The fourth proportional to 235,468.88, 325,802.76 and 205,317.03 is: 284,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,468.88 : 325,802.76 = 205,317.03 : x
  2. Step 2: Convert to fraction form
    235,468.88/325,802.76 = 205,317.03/x
  3. Step 3: Cross multiply
    235,468.88x = 325,802.76 × 205,317.03
  4. Step 4: Simplify right side
    235,468.88x = 66,892,855,049.00
  5. Step 5: Solve for x
    x = 66,892,855,049.00/235,468.88
  6. Step 6: Final answer
    x = 284,083.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.